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In our paper, we primarily concentrate on the existence and controllability results for fractional evolution inclusions of order 1 < r < 2 with Clarke's subdifferential type. By applying the facts related to the measure of noncompactness, fractional calculus, and fixed‐point technique, the principal results are proved. Initially, we are concentrating the existence and continue to prove the controllability of the fractional evolution system. In the end, we present an example to demonstrate the theory. [ABSTRACT FROM AUTHOR]

In our article, we primarily concentrating on approximate controllability results for fractional integro‐differential equations of order 1 < r < 2. By applying the results and ideas belongs to fractional calculus, and the fixed‐point approach, the main results are established. Initially, we establish the approximate controllability of the considered fractional evolution equations, then continue to examine the system with the concept of nonlocal conditions. Finally, we present an example to demonstrate the obtained theory. [ABSTRACT FROM AUTHOR]